Geodesic
Solution of linear boundary value problems for systems of ordinary differential equations by Godunov's method
Numerical methods and programming, Tome 2 (2001) no. 3, pp. 41-48.

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A numerical algorithm of solving linear boundary value problems for systems of first-order ordinary differential equations is proposed. The algorithm is based on Godunov's method without storage of intermediate matrices arising during the process of orthogonalization.
Keywords: linear boundary value problems, ordinary differential equations, shooting method, QR-decomposition, refelection method.
Mots-clés : orthogonal Thomas algorithm 
@article{VMP_2001_2_3_a3,
     author = {O. B. Arushanyan and S. F. Zaletkin},
     title = {Solution of linear boundary value problems for systems of ordinary differential equations by {Godunov's} method},
     journal = {Numerical methods and programming},
     pages = {41--48},
     publisher = {mathdoc},
     volume = {2},
     number = {3},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2001_2_3_a3/}
}
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O. B. Arushanyan; S. F. Zaletkin. Solution of linear boundary value problems for systems of ordinary differential equations by Godunov's method. Numerical methods and programming, Tome 2 (2001) no. 3, pp. 41-48. http://geodesic.mathdoc.fr/item/VMP_2001_2_3_a3/